Question

Rachel rolled a die forty five times with the following results. What was her mean score?

• A. 3.2
• B. 3.4
• C. 2.9
• D. 3.5

Answer 1

The correct option is B 3.4

$$\begin{array}{ccc}Score\left(x_i\right)& f_i& f_i{x}_i\\ \text{1}& \text{8}& \text{8}\\ \text{2}& \text{11}& \text{22}\\ \text{3}& \text{4}& \text{12}\\ \text{4}& \text{8}& \text{32}\\ \text{5}& \text{5}& \text{25}\\ \text{6}& \text{9}& \text{54}\\ & \sum f_i=45& \sum f_i{x}_i=153\end{array}$$

$Mean=\frac{\sum f_i{x}_i}{\sum f_i}=\frac{153}{45}=3.4$